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Some foundations for multiplicative habits models

  • Hiraguchi, Ryoji

Consumption models with multiplicative habits are becoming increasingly popular. However, mathematical foundations of such models are incomplete because the utility function with multiplicative habits is not concave. This paper shows that an optimal consumption path exists and it satisfies the first order conditions. The paper also shows that when the production function is linear, consumption growth rate along the optimal path converges to a positive constant under several parametric restrictions.

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Article provided by Elsevier in its journal Journal of Macroeconomics.

Volume (Year): 30 (2008)
Issue (Month): 3 (September)
Pages: 873-884

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Handle: RePEc:eee:jmacro:v:30:y:2008:i:3:p:873-884
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  1. Jaime Alonso-Carrera & Jordi Caball?Author-Email: & Xavier Raurich, . "Growth, Habit Formation, and Catching-up\ with the Joneses," UFAE and IAE Working Papers 497.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Takashi Kamihigashi, 2001. "A Simple Proof of the Necessity of the Transversality Condition," Discussion Paper Series 116, Research Institute for Economics & Business Administration, Kobe University.
  3. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
  4. Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Working Papers UWEC-2004-09-P, University of Washington, Department of Economics, revised Jan 2004.
  5. Christopher D. Carroll & Jody Overland & David N. Weil, 1997. "Comparison Utility in a Growth Model," NBER Working Papers 6138, National Bureau of Economic Research, Inc.
  6. Christopher D Carroll, 2000. "Solving Consumption Models with Multiplicative Habits," Economics Working Paper Archive 421, The Johns Hopkins University,Department of Economics.
  7. Christopher D. Carroll & Jody Overland & David N. Weil, 1995. "Saving and growth with habit formation," Finance and Economics Discussion Series 95-42, Board of Governors of the Federal Reserve System (U.S.).
  8. Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, 09.
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